On the density of the zeros of the Dedekind Zeta-function

DOI10.4064/aa-33-2-169-181zbMath0325.12003OpenAlexW1538145037MaRDI QIDQ4088901

D. R. Heath-Brown

Publication date: 1977

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205571

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Hurwitz and Lerch zeta functions (11M35)

Related Items (14)

A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis ⋮ On the distance between consecutive prime ideal numbers in sectors ⋮ Zero density of \(L\)-functions related to Maass forms ⋮ A BOMBIERI–VINOGRADOV THEOREM FOR NUMBER FIELDS ⋮ Primes in short intervals on curves over finite fields ⋮ A variant of the Bombieri–Vinogradov theorem in short intervals and some questions of Serre ⋮ General L-functions ⋮ Cyclicity and exponents of CM elliptic curves modulo $p$ in short intervals ⋮ Zero-density estimate of \(L\)-functions for cusp forms ⋮ The Chebotarev density theorem in short intervals and some questions of Serre ⋮ On certain mean values of logarithmic derivatives of \(L\)-functions and the related density functions ⋮ An interval result for the number field \(\psi{}(x,y)\) function ⋮ Distribution of primes of imaginary quadratic fields in sectors ⋮ On the error term and zeros of the Dedekind zeta function

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